105026313 has 64 divisors (see below), whose sum is σ = 175104000. Its totient is φ = 54722304.

The previous prime is 105026309. The next prime is 105026351. The reversal of 105026313 is 313620501.

It is not a de Polignac number, because 105026313 - 2² = 105026309 is a prime.

It is a super-2 number, since 2×105026313² = 22061052844747938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 105026313.

It is not an unprimeable number, because it can be changed into a prime (105026353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1329408 + ... + 1329486.

It is an arithmetic number, because the mean of its divisors is an integer number (2736000).

Almost surely, 2^105026313 is an apocalyptic number.

It is an amenable number.

105026313 is a deficient number, since it is larger than the sum of its proper divisors (70077687).

105026313 is a wasteful number, since it uses less digits than its factorization.

105026313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 105026313 is about 10248.2346284616. The cubic root of 105026313 is about 471.8088032106.

Adding to 105026313 its reverse (313620501), we get a palindrome (418646814).

The spelling of 105026313 in words is "one hundred five million, twenty-six thousand, three hundred thirteen".